There are to many variables.
Old school had to deal with corrosive primers and very erosive powders. Lead deposits were more of a concern than copper fouling. Barrel Steel and the type of rifling were different.
I'm with
@Bob Nelson 35Whelen when it comes to barrels and cleaning. A hand lapped match grade barrel that doesn't accumulate much fouling, and gets squeaky cleaned after every trip to the range, or on a hunt, is the way to go.
With older barrels that have fire cracking near the throat just ahead of the chamber, I clean less often.
View attachment 710516
This rough surface develops after a few thousand rounds, and leaving this area smoothed over with copper fouling is better than cleaning down to bare steel. This is EROSION due to the high pressure sandblasting the rifling is subjected to just ahead of the chamber. A 30 Carbine or 30-30 Win barrel may go 10,000 rounds before this becomes so severe that the barrel should be replaced. A 300 RUM can wear a throat this severely within 1,000 rounds.
View attachment 710517
This is CORROSION caused by lack of cleaning, corrosive primers, etc. Being an old Match shooter from my early teens, I was taught to clean all the way down to bare steel, then run a few oil soaked patches down the bore. That way there isn't anything to attract moisture, or promote galvanic action. With a barrel that is in bad shape from neglect, or has tooling marks from the manufacturer, or is worn from age, I'll leave just enough fouling to smooth things out, and keep the bore well oiled to prevent further corrosion.
Air rifles are cleaned with a special .177 or .22 Bore Snake meant for airguns with no bristles. Balistol is the strongest thing I've ever needed in an airgun.
Long answer, but as I said in my first post on this thread, it all depends on the particular gun and the condition of that barrel.